What is the solution of the equation 8/9(x+1/2)=323 when solving for x ?(1 point)

Answer 1

To solve the equation 8/9(x+1/2)=323 for x, we can start by simplifying the equation:

8/9(x+1/2) = 323

8(x+1/2) = 9 * 323 (multiply by 9 to get rid of the fraction)

8(x+1/2) = 2907 (simplify 9*323 = 2907)

Now, we can distribute the 8 on the left side:

8 * x + 8 * (1/2) = 2907

8x + 4 = 2907 (simplify 8 * 1/2 = 4)

Next, we isolate x by subtracting 4 from both sides:

8x = 2907 - 4

8x = 2903

Finally, we divide both sides by 8 to solve for x:

x = 2903/8

So the solution to the equation is x = 363.875